A fibered power theorem for pairs of log general type

Abstract

Let $f:(X,D)\to B$ be a stably family with log canonical general fiber. We prove that, after a birational modification of the base $\tilde{B}\to B$, there is a morphism from a high fibered power of the family to a pair of log general type. If in addition the general fiber is openly canonical, then there is a morphism from a high fibered power of the original family to a pair openly of log general type.

Exposition has been greatly improved. Version to appear in Algebra & Number Theory

References in corpus (1)

• Moduli of products of stable varieties

Cited by in corpus (2)

• Hyperbolicity and uniformity of varieties of log general type
• Corrections to {\it Uniformity of rational points} and further comments